If two people had a magic machine that was capable of telling them exactly what the metabolism was at any given day, and generate a meals that would give them exactly the same deficit consistently every day, then they would lose the same weight at roughly the same rate.
However, their body's response to the weight loss could be different. Person A may perform their daily activities with less energy than Person B. Person A may feel more sluggish and lethargic then Person B, which in turn causes them to be less active. Person A may feel hungrier which demotivates them to do things they normally would do under normal circumstances, which in turn causes them to be less active. These things can cause Person A's metabolism to drop. This magic machine would then have to adjust Person A's calories more often than Person B.
We know this happens because there's a class of nutrition study called Metabolic Ward studies which try to emulate this as close as possible. People are housed and fed extremely strict diets while their metabolism is monitored. These studies are often extremely short and small considering the difficulty in convincing people to live like this for an extended period of time. Though whenever these studies are conducted, people's weight drops predictably but not exactly because their metabolism changes at different rates.